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Assertion (A): Adiabatic reversible motion conserves potential temperature.

Reason (R): The specific entropy of an ideal gas is a function of potential temperature alone.

Select the correct answer from the options below.

  • A.Both A and R are true, but R is not the correct explanation of A
  • B.A is true but R is false
  • C.A is false but R is true
  • D.Both A and R are true, and R is the correct explanation of A

Answer: D

Since a reversible adiabatic process conserves entropy, and entropy depends only on potential temperature for an ideal gas, the potential temperature must be conserved. The reason therefore explains the assertion completely. This identification is what makes isentropic and constant potential temperature surfaces the same thing and underpins the whole of isentropic analysis.

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